What is the answer to 1/(2x)+5/x = 3/(x-1) ?

The answer to 1/(2x)+5/x = 3/(x-1) is x= 11/5

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1/(2x)+5/x = 3/(x-1)

\frac{1}{2 x} + \frac{5}{x} = \frac{3}{x - 1}

x = \frac{11}{5}

Decimal Notation

x = 2.2

Solution steps

\frac{1}{2 x} + \frac{5}{x} = \frac{3}{x - 1}

Multiply by LCM

11 x - 11 = 6 x

Move

11

to the right side

11 x = 6 x + 11

Move

6 x

to the left side

5 x = 11

Divide both sides by

5

x = \frac{11}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 1

Combine undefined points with solutions:

x = \frac{11}{5}

15 = \frac{x \cdot 37}{1 - x}

y, x = \frac{a y + b}{cy + d}

\frac{11}{s + 3} + 4 = 5

x + \frac{8}{2 x} = 5

\frac{2500}{30 ( 0.3 + x )} = 210

What is the answer to 1/(2x)+5/x = 3/(x-1) ?
The answer to 1/(2x)+5/x = 3/(x-1) is x= 11/5
Solve for x: 1/(2x)+5/x = 3/(x-1)
The solution is x= 11/5